suckatmath01
  • suckatmath01
The table below represents a linear function f(x) and the equation represents a function g(x). x f(x) −1 −11 0 −1 1 9 g(x) g(x) = 5x + 1 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
suckatmath01
  • suckatmath01
x f(x) -1, -11 0, -1 1, 9
suckatmath01
  • suckatmath01
that is a better graph of the numbers, i will award medals!!!
Smartanne
  • Smartanne
I can help you

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suckatmath01
  • suckatmath01
yay!! thanks!
Smartanne
  • Smartanne
So the first thing that you want to do is find the f(x) equation
suckatmath01
  • suckatmath01
ok i am having a little trouble with that
Smartanne
  • Smartanne
Since you know the x and y coordinates (f(x) basically means y), just plug 2 coordinates into the slope formula and you will get the slope for the f(x) equation
suckatmath01
  • suckatmath01
so i pick one of the coordinates ?
suckatmath01
  • suckatmath01
how about -1, -11
Smartanne
  • Smartanne
Pick two and plug them into the slope formula
Smartanne
  • Smartanne
The slope formula is \[y _{2}-y _{1}\div x _{2}-x\]
Smartanne
  • Smartanne
(-1,-11) would work now just pick another coordinate
Smartanne
  • Smartanne
and plug it in the formula
suckatmath01
  • suckatmath01
so -1 + 0 / -11 + -1?
Smartanne
  • Smartanne
give me a second to check that
Smartanne
  • Smartanne
Yes, that would work, now just solve it
suckatmath01
  • suckatmath01
ok so -1 divided by -12?
Smartanne
  • Smartanne
Yes so express that as a fraction to make it easier
Smartanne
  • Smartanne
-1/-12
suckatmath01
  • suckatmath01
the decimal is like .08333333333
suckatmath01
  • suckatmath01
so a fraction would be..
Smartanne
  • Smartanne
Ya, but you don't need to know the decimal
suckatmath01
  • suckatmath01
1/12?
Smartanne
  • Smartanne
yes!
suckatmath01
  • suckatmath01
awesome now what
Smartanne
  • Smartanne
Ok, so far the equation is f(x)=-1/-12x + b. b is the y intercept, to find it plug in one of the coordinates in for f(x) and (x).
suckatmath01
  • suckatmath01
so f(x)=-1/-12 + 9?
suckatmath01
  • suckatmath01
since its a y coordinate?
Smartanne
  • Smartanne
You almost got it, just put an x in after -1/-12
Smartanne
  • Smartanne
Now that you have that information you can solve both of the parts of the problem, since you know both of the slopes and the y-intercepts
suckatmath01
  • suckatmath01
oh whoops f(x)=-1/-12(0)=9
suckatmath01
  • suckatmath01
i mean1
suckatmath01
  • suckatmath01
i accidentally typed 0
Smartanne
  • Smartanne
Ok thats fine
suckatmath01
  • suckatmath01
so i solve it now?
suckatmath01
  • suckatmath01
so the y coordinate is negative 1 twelfth = 9?
Smartanne
  • Smartanne
I think your a little confused so lets take a step back. you have the equation f(x)=-1/-12x + b. Now plug in any coordinate for F(x) and x. Lets use the coordinate (1,9)
Smartanne
  • Smartanne
Plug in 9 for f(x) and 1 for x
suckatmath01
  • suckatmath01
ok so f(x)=-1/-12*1 = 9?
suckatmath01
  • suckatmath01
oooooh!! ok
Smartanne
  • Smartanne
Yes!
suckatmath01
  • suckatmath01
9=-1/-12*1?
suckatmath01
  • suckatmath01
plus at the end whoops i switched it to =
Smartanne
  • Smartanne
9=-1/-12*1 + b, you can't forget the b because that is what your solving the equation for
suckatmath01
  • suckatmath01
ok
Smartanne
  • Smartanne
Sorry that took me a while, my computer froze
suckatmath01
  • suckatmath01
oh its fine
suckatmath01
  • suckatmath01
so now i have these :Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) Part B: Which function has a greater y-intercept? Justify your answer. (4 points
Smartanne
  • Smartanne
Ok so the slope for the f(x) equation is -1/-12 and the slope for the g(x) equation is 5, so the slope for g(x) is greater than the f(x) slope.
suckatmath01
  • suckatmath01
ok but how did u get 5? i miss things sorry
Smartanne
  • Smartanne
From the g(x) equation that was given in the problem
suckatmath01
  • suckatmath01
ok
suckatmath01
  • suckatmath01
awesome i got part a now just: Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
suckatmath01
  • suckatmath01
would that be the g(x) one too?
Smartanne
  • Smartanne
And for part B, the y-intercept for the f(x) equation is 9 1/12 (let me know if you need help with finding the y-intercept) and for g(x) the y-intercept would be 1, so the f(x) function has the greater y-intercept
suckatmath01
  • suckatmath01
ok could you show me the steps u used?
Smartanne
  • Smartanne
F(x) would be greater bc 9 1/2>1
Smartanne
  • Smartanne
Ya I'll show you
Smartanne
  • Smartanne
Looks like I made a mistake...sorry the slope for f(x) is 1/12 bc -1/-12 simplifies to 1/12
suckatmath01
  • suckatmath01
oh ok
Smartanne
  • Smartanne
g(x) would still be greater though
Smartanne
  • Smartanne
So that means we should change the f(x) equation
suckatmath01
  • suckatmath01
so for A would the slope for the f(x) equation is 1/12 and the slope for the g(x) equation is 5, so the slope for g(x) is greater than the f(x) slope. work?
Smartanne
  • Smartanne
Yes
suckatmath01
  • suckatmath01
ok so now all i need is to justify how i got part b
Smartanne
  • Smartanne
I'm really sorry! But I need to go... if you need any more help I'm coming back at about 2:30 pm today
suckatmath01
  • suckatmath01
how'd u get it tho?
suckatmath01
  • suckatmath01
fx is still greater righT?
Smartanne
  • Smartanne
Yes
suckatmath01
  • suckatmath01
ok
Smartanne
  • Smartanne
The y-intercept is 8 1/12 for the f(x) equation, which is still much greater than f(x)
suckatmath01
  • suckatmath01
ok awesome thanks!
Smartanne
  • Smartanne
Your welcome...fan me I'm on twice a day every day and I'm always available to help (especially with algebra)

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